A01=American Mathematical Society
Author_American Mathematical Society
Category=PBF
Category=PBH
Category=PBKD
Category=PBM
eq_isMigrated=1
eq_nobargain
Product details
- ISBN 9780821811795
- Weight: 454g
- Publication Date: 30 Aug 1993
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
'The book represents an introduction to the theory of abelian varieties with a view to arithmetic. The aim is to introduce some of the basics of the theory as well as some recent arithmetic applications to graduate students and researchers in other fields. The first part contains proofs of the Abel-Jacobi theorem, Riemann's relations and the Lefschetz theorem on projective embeddings over the complex numbers in the spirit of S. Lang's book ""Introduction to Algebraic and Abelian Functions"". Then the Jacobians of Fermat curves as well as some modular curves are discussed. Finally, as an application, Faltings' proof of the Mordell conjecture and its intermediate steps, the Tate conjecture and the Shafarevich conjecture, are sketched' - H. Lange for ""MathSciNet"".
